4428800 has 66 divisors (see below), whose sum is σ = 11041518. Its totient is φ = 1761280.

The previous prime is 4428773. The next prime is 4428817. The reversal of 4428800 is 88244.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 3444736 = 992^2 + 1856^2 .

It is a super-2 number, since 2×4428800² = 39228538880000, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4428800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25514 + ... + 25686.

Almost surely, 2^4428800 is an apocalyptic number.

4428800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520759).

4428800 is an abundant number, since it is smaller than the sum of its proper divisors (6612718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4428800 is a wasteful number, since it uses less digits than its factorization.

4428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4428800 is about 2104.4714300745. The cubic root of 4428800 is about 164.2209989053.

The spelling of 4428800 in words is "four million, four hundred twenty-eight thousand, eight hundred".